Statistical approximation properties of q-Baskakov-Kantorovich operators

• Autorzy: Vijay Gupta , Cristina Radu
• Języki publikacji: EN

Abstrakty

EN

In the present paper we introduce a q-analogue of the Baskakov-Kantorovich operators and investigate their weighted statistical approximation properties. By using a weighted modulus of smoothness, we give some direct estimations for error in case 0 < q < 1.

Słowa kluczowe

EN

q-integers; q-Baskakov operators; q-Baskakov-Kantorovich operators; Weighted space; Weighted modulus of smoothness

Kategorie tematyczne

• 41A35: Approximation by operators (in particular, by integral operators)
• 41A25: Rate of convergence, degree of approximation

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2009
• Tom: 7
• Numer: 4
• Strony: 809-818

Daty

wydano

2009-12-01

online

2009-10-31

Twórcy

autor

Vijay Gupta

• School of Applied Sciences, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi, India

autor

Cristina Radu

• Faculty of Mathematics and Computer Science, Babş-Bolyai University, Cluj-Napoca, Romania

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-009-0055-y